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Finding the Fourth Proportional to 1,187.08, 1,780.77 and 407.23

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Solution

The fourth proportional to 1,187.08, 1,780.77 and 407.23 is: 610.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.08 : 1,780.77 = 407.23 : x
  2. Step 2: Convert to fraction form
    1,187.08/1,780.77 = 407.23/x
  3. Step 3: Cross multiply
    1,187.08x = 1,780.77 × 407.23
  4. Step 4: Simplify right side
    1,187.08x = 725,182.97
  5. Step 5: Solve for x
    x = 725,182.97/1,187.08
  6. Step 6: Final answer
    x = 610.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.